Using the digits in the year 1997 and the operations of +, -, x, ÷, roots, ^, and ! along with grouping symbols, write expressions for the counting numbers 1 through 100. Check the rules page for complete details. Print a worksheet for your students. See Rob's lists of 1997 answers.

Responses From Students

Please notify me at judyann@dimacs.rutgers.edu if you find any errors.

Solution  Name   Grade School
1 1 + (9 - 9) x 7 Carmen 9 PVMS
2 1 ^ 9 x 9 - 7  

sqrt 9 x sqrt 9 - 7 x 1

7 + (sqrt 9) - 9 + 1

(7 - sqrt 9) - (sqrt 9 - 1)

Peter

Mike

Tim

Riccardo

8

8

11

8

PVMS

PVMS

DVHS

PVMS

3 sqrt(9 x (9 - (7+1)))

9 ÷ (9 - 7 + 1 )

Lorraine

Melissa

8

8

PVMS

PVMS

4 sqrt 9 - 1 + 9 - 7 Nicole 8 PVMS
5 9 + sqrt(9) - 7 x 1 Tim 11 DVHS
6 9 - 9 + 7 - 1 Michelle 8 PVMS
7 (9^1- 9) + 7

1 x 9 ÷ 9 x 7

1 x 9 x 7 ÷ 9

Adam

Sherri

Erica

8

8

9

PVMS

PVMS

PVMS

8 1 + 9 - 9 + 7

1 x (9 ÷ 9) + 7

Amber

Jan

8

8

PVMS

PVMS

9 9 ÷ 9 + 7 + 1 Pat 8 PVMS
10 9 + 9 - 1 - 7 Krystal 8 PVMS
11 1 x 9 + 9 - 7 Nicole 8 PVMS
12 1 + 9 + 9 - 7 Stacy 8 PVMS
13 9 + sqrt(9) + 1 ^ 7 Jeff 8 PVMS
14 (9 ÷ 9 + 1) x 7 B.J. 8 PVMS
15 sqrt(9) x sqrt(9) + 7 - 1 Mike 8 PVMS
16 (1 - 9)(7 - 9) Dennis 8 PVMS
17 (9 - 7) x 9 - 1 Allyson 8 PVMS
18 (9 - 7) x 9 x 1 Andrea 8 PVMS
19 (9 - 7) x 9 + 1 Louis 8 PVMS
20 7 x 9 ÷ sqrt(9) - 1 Troy 8 PVMS
21 9 x sqrt(9) + 1 - 7 Holly 8 PVMS
22 sqrt(9) x 7 + 1^9 Tiffny 8 PVMS
23 7 + sqrt(9)! + 1 + 9 Renee 8 PVMS
24 9 + 7 + 9 - 1 John 8 PVMS
25 7 ÷ 1 + 9 + 9

7 x 1+9+9

Connie

Lisa

8

9

PVMS

DVHS

26 7 + 1 + 9 + 9 Cindi 8 SMS
27 (1 + 9 - 7) x 9 Jeanine 8 PVMS
28 (9 ÷ sqrt (9) + 1)x7 Timmy 6 St. Joan of Arc
29 sqrt(9) x 7 - 1 + 9 Bronson 8 PVMS
30 sqrt(9) x 1 x 7 + 9 Sean 8 PVMS
31 sqrt(9) x 7 + 1 + 9 Kyle 8 PVMS
32 (sqrt(9))! x 7 - 9 - 1 Allyson 8 PVMS
33 sqrt(9) x 9 + 7 - 1 Jennie 8 PVMS
34 sqrt(9) x 1 x 9 + 7 Jerry 8 PVMS
35 1 + 9 x sqrt(9) + 7 Tanya 8 PVMS
36 sqrt(9 + 7) x 9 x 1 Builderz 7 St. Joan of Arc
37 [sqrt(9 + 7)]9 + 1 Michelle Lincoln Middle School
38
39
40 7 ^ (sqrt(9) - 1) - 9 Allyson 8 PVMS
41 (sqrt 9 + sqrt 9)7 - 1 Michelle Lincoln Middle School
42 (sqrt(9) + sqrt(9)) x 7 x 1 Jennie 8 PVMS
43 (sqrt(9) + sqrt(9) x 7 + 1 Kyle 8 PVMS
44 (sqrt(9))! x (sqrt(9))! + 7 + 1 Jennie 9 PVMS
45 sqrt(9) x ( 9 + 7 - 1)

9 x (7 - 1)-9

(7 - 1) x 9 - 9

Kris

Danny

Timmy

8

6

6

PVMS

St. Joan of Arc

St. Joan of Arc

46 (sqrt(9))! - 9 - 7 - 1 Tiffany 9 PVMS
47 (9 - 1) x 7 - 9 Kim
48 sqrt(9) x (9 + 7 x 1) Kris 8 PVMS
49 7^(9 ÷ 9 + 1) Heather 8 PVMS
50
51 (9 + 7 + 1) x sqrt(9) Jeff 8 PVMS
52
53 (9 x 7) - (1 + 9)

9 x 7 - 9 - 1

Justin

Lisa

8

9

PVMS

DVHS

54 1 x 7 x 9 - 9 Kate 8 PVMS
55 9 x 7 - 9 + 1 Tim 11 DVHS
56 (sqrt(9) x sqrt(9) - 1) x 7 Bronson 8 PVMS
57 7 x 7+ 9 - 1 Michelle Lincoln Middle School
58
59 7 x 9 - sqrt(9) - 1 Stacey 8 PVMS
60 (sqrt(9))! x 9 + (-1) + 7 Erica 9 PVMS
61 (1 + 9) x 7 - 9 Rich 8 PVMS
62 sqrt(9) x sqrt(9) x 7 -1 Jeff 8 PVMS
63 (7 - 1) x 9 + 9 Kate 8 PVMS
64 (9! ÷ 7!) - 9 + 1 Tim 11 DVHS
65 (9 - 1) x 9 - 7 Jennifer 8 PVMS
66
67
68
69 ( 7 + 1 )9 - sqrt 9 Michelle Lincoln Middle School
70 (sqrt(9) x sqrt(9) + 1) x 7 Jeff 8 PVMS
71 7 x 9 - 1 + 9

9 x 7 + 9 - 1

Jenn

Lisa

8

9

PVMS

DVHS

72 9 x 7 + 9 x 1 Erin 9 PVMS
73 9 x 9 - 1- 7
9 x 7 + 9 + 1
Tim

Lisa

8
9
PVMS

DVHS

74 9 x 9 - 7 x 1

9 ÷ 1 x 9 - 7

Tiffany

Lisa

8

9

PVMS

DVHS

75 9 x 9 - 7 + 1 Heather 8 PVMS
76 1 + sqrt(9) + 9! ÷ 7! Jonas 7 Tisbury Elementary School
77 -1 - sqrt(9) x 9 + 7!! Jonas 7 Tisbury Elementary School
78 -1 x sqrt(9) x 9 + 7!! Jonas 7 Tisbury Elementary School
79 (9 - 1) x 9 + 7 Lindsay 8 PVMS
80 9^(9 - 7) - 1 Alicia 8 PVMS
81 (1+7)9 + 9 Cindi 8 SMS
82 9 ^ (9-7) + 1 Charles 8 PVMS
83 (1 + 9) x 9 - 7 Nicole 8 PVMS
84 (1 + sqrt(9)) x sqrt(9) x 7 Lindsay 8 PVMS
85
86 -1 - 9 - 9 + 7!! Jonas 7 Tisbury Elementary School
87 9 x 9 - 1 + 7

9 x 9 + 7 - 1

Annette

Timmy

8

6

PVMS

St. Joan of Arc

88 9 x 9 x 1 + 7

(9 x 1) x 9 + 7

Holly

Timmy

8

6

PVMS

St. Joan of Arc

89 9 x 9 + 1 + 7

9 x 9 +7 + 1

Mark

Timmy

8

6

PVMS

St. Joan of Arc

90 9 x (9 + 1^7)
91 (sqrt 9 + 7 )9 + 1 Michelle Lincoln Middle School
92
93 (((Sqrt9)!)!) ÷ (7+1) +Sqrt9 Dan 11 MKA
94 1 - sqrt(9) - 9 + 7!! Jonas 7 Tisbury Elementary School
95
96
97 (1 + 9) x 9 + 7 Mike 9 PVMS
98
99 ( 7 + sqrt 9+ 1 )9

Michelle

Lincoln Middle School
100 (7 + sqrt(9)) x (9 + 1) Jenn 8 PVMS

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